Differential and integral equations
- نوع فایل : کتاب
- زبان : انگلیسی
- مؤلف : P J Collins
- ناشر : Oxford : Oxford University Press,
- چاپ و سال / کشور: 2006
- شابک / ISBN : 9780198533825
Description
Integral equations and Picard's method -- Existence and uniqueness -- The homogeneous linear equation and Wronskians -- The non-homogeneous linear equation -- First-order partial differential equations -- Second-order partial differential equations -- The diffusion and wave equations and the equation of Laplace -- The Fredholm alternative -- Hilbert-Schmidt theory -- Iterative methods and Neuman series -- The calculus of variations -- The Sturm-Liouville equation -- Series solutions -- Transform methods -- Phase-plane analysis -- Appendix : the solution of some elementary ordinary differential equations.
Differential & integral equations involve important mathematical techniques, & as such will be encountered by mathematicians, & physical & social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- & second- order ordinary & partial differential equations.
